{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

329sum09he2sol

# 329sum09he2sol - MEN/cf!”— ECE 329 Hour Exam 2 1 The...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MEN/cf?!”— ECE 329 Hour Exam 2 July 17, 2009 1. The region between two inﬁnite, plane parallel, perfectly conducting plates at z = 0 and z = 10 mm is ﬁlled with two slabs of perfect dielectric materials having constant electric permittivities 61 = 60 for 0 < z < 5 mm (region 1) and 62 = eTeO for 5 < z < 10 mm (region 2). The bottom plate is held at constant potential V(0) = 0 and the electrostatic ﬁeld between the plates is known to be —42X 0 < z < 5mm in7 = —22 3%, 5 < z < 10mm a) (10 pts) Determine er. b) (5 pts) Determine V(z = 10 mm) in volts. c) (5 pts) Determine the charge density p3 of the plate at z = 10 mm in C/m2. d) (10 pts) Determine the capacitance C of the structure described above in farads if the parallel plates at z = 0 and z = 10 mm were constrained to have ﬁnite areas A = W2 facing one another where W = 10 cm. In this calculation ignore the fringing ﬁelds. 2. A square loop of wire of some ﬁnite resistance R and 2 m2 surface area is located within a region of constant magnetic ﬁeld B = 32 Wb/m2 as illustrated in the following diagram. 2 y a) (5 pts) What is the magnetic ﬂux \11 through the loop when the orientation angle of the loop is 6 = 00? In your ﬂux calculation make use of dS orientation shown in the diagram (dS points in 3 direction when 6 = O). b) (5 pts) What is the flux W as a function of angle 6 (using the same Sign convention as in part a)? c) (10 pts) Assuming that angle 6 is time varying at a rate of g3 = 7r %, what is the emf 6' around the loop at the instant when 9 = 45"? d) (5 pts) In what direction will a positive induced current I ﬂow around the loop at the same instant? You may indicate your answer by drawing labeled arrows around the loop graphically. Justify your answer. e) (5 pts) What is I if resistance R of the wire loop is 2 Q? 3. We have on 2 = 0 plane a pulse of sheet current J 8(t) = Q f (t), where the function f (t), measured in A/m units, is speciﬁed below. Regions adjacent to the current sheet are vacuum. a) (10 pts) f (t) = 2t(u(t) —- u(t — 750)), which is a ramp of duration to starting at t = 0 and ending at t = to. Plot Jy(t) vs 25 over —to < t < 2750 if to = 2 us. Label all your axes carefully. b) (5 pts) What is the unit of the constant 2 in (a) so that J 3(t) has A/m units? c) (10 pts) Determine and plot Ey(z,t) and HA2, t) vs 75 for z = 1200 m. d) (15 pts) Determine and plot Ey(z, t) and Hm(z, t) vs 2 for t = 5ns. " 5"” ! a z 1 z 1 ;' 1 3 E ‘ ‘ “ ‘ a z 3 z , v z A, 5 A U ‘f A I ‘ k l l ‘ ‘ I l ‘ ; z < ; ' 1 ; : ..._»“auMW“.__aw._Mw,w.»M“WM.mmﬁ.wumw_mmu__m.«mmw.“Mmmvw‘mmwmmmWW...W“W‘WmMM‘WWWM«wﬂﬁk b>WCe>:éa«> ’ e ' “ ML. __1 _‘ I l‘ ‘ M ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern